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An algorithm for solving second order linear homogeneous differential equations. (English) Zbl 0603.68035

Summary: In this paper we present an algorithm for finding a “closed-form” solution of the differential equation \(y''+ay'+by\), where \(a\) and \(b\) are rational functions of a complex variable \(x\), provided a “closed-form” solution exists. The algorithm is so arranged that if no solution is found, then no solution can exist.

MSC:

68W30 Symbolic computation and algebraic computation
34A05 Explicit solutions, first integrals of ordinary differential equations
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References:

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